Percentage Calculations

Percentage Calculations

Want to find a percent of a number? You can calculate percentages in a few simple and easy steps.

Step by step guide to solve percentage problems

  • Percent is a ratio of a number and \(100\). It always has the same denominator, \(100\). The percent symbol is \(\%\).
  • Percent is another way to write decimals or fractions. For example:
    \(40\%=0.40=\frac{40}{100}=\frac{2}{5}\)
  • Use the following formula to find part, whole, or percent:
    \(\color{blue}{part =\frac{percent}{100} \ × \ whole }\)

Example 1:

What is \(15\%\) of \(50\)?

Solution:

Use the this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).
part \(=\frac{15}{100} \ × \ 50 →\) part \(=\frac{15 \ × \ 50}{100}→\) part \(=\frac{75}{10}→\) part \(=7.5 \)

Example 2:

What is \(30\%\) of \(35\)?

Solution:

Use the this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).
part \(=\frac{30}{100} \ × \ 35 →\) part \(=\frac{105}{10}→\) part \(=10.5 \)

Example 3:

What is \(10\%\) of \(45\)?

Solution:

Use the this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).
part \(=\frac{10}{100}×45 →part=\frac{1}{10}×45→part=\frac{45}{10}→\) part \(=4.5\)

Example 4:

What is \(15\%\) of \(24\)?

Solution:

Use the percent formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).
part \(=\frac{15}{100}×24 →\) part \(=\frac{360}{100} →\) part \(=3.6 \)

Exercises

Calculate the percentages.

  • \(\color{blue}{50\% \ of \ 25}\)
  • \(\color{blue}{ 80\% \ of \ 15 }\)
  • \(\color{blue}{ 30\% \ of \ 34 }\)
  • \(\color{blue}{ 70\% \ of \ 45 }\)
  • \(\color{blue}{ 10\% \ of \ 0 }\)
  • \(\color{blue}{ 80\% \ of \ 22 }\)

Download Percentage Calculations Worksheet

  • \(\color{blue}{12.5}\)
  • \(\color{blue}{12}\)
  • \(\color{blue}{10.2}\)
  • \(\color{blue}{31.5}\)
  • \(\color{blue}{0}\)
  • \(\color{blue}{17.6}\)

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